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Finding the Fourth Proportional to 167.37, 229.94 and 143.98

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Solution

The fourth proportional to 167.37, 229.94 and 143.98 is: 197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.37 : 229.94 = 143.98 : x
  2. Step 2: Convert to fraction form
    167.37/229.94 = 143.98/x
  3. Step 3: Cross multiply
    167.37x = 229.94 × 143.98
  4. Step 4: Simplify right side
    167.37x = 33,106.01
  5. Step 5: Solve for x
    x = 33,106.01/167.37
  6. Step 6: Final answer
    x = 197.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.